Practice Test 7 - ISEE Middle Level Quantitative Reasoning

20 questions. Answer them in any order, then submit to see your score and every explanation.

Start practice test

1. A recipe serves six. It uses 12 cups of juice. How many cups for 15 servings?
2. A store offers two discount plans for a $200 bicycle. Plan X is a single discount of 25%. Plan Y is a 15% discount, followed by an additional discount of 1/10 off the sale price. How much more money is saved by choosing the better plan?
3. When a number $k$ is divided by 4 and then 9 is added to the result, the answer is 15. What is the value of $k - 2$?
4. A swimming pool is being filled with water at a constant rate of 25 gallons per minute. The pool has a capacity of 18,000 gallons. If the filling process started at 8:00 AM, at what time will the pool be completely full?
5. What is the missing term: 3, 9, 27, __, 243?
6. A rotation maps point B(3, –5) to its image B'(–3, 5). Which of the following could be the center and angle of this rotation?
7. A recursive sequence is defined by a(1) = 2, and a(n) = a(n-1) + n + 1 for n > 1. What is the value of a(4)?
8. A machine can produce 300 bolts in 12 minutes. Working at this constant rate, how many bolts can the machine produce in 1 hour and 4 minutes?
9. A small gift box is a cube with a side length of 4 inches. A larger, proportionally shaped gift box has a side length of 12 inches. The volume of the larger box is how many times the volume of the smaller box?
10. In a board game, you roll two dice; what is the probability of sum 7? Give your answer in simplest form.
11. A phone company charges $0.20 for the first minute of a call and $0.08 for each additional minute. If a call costs $1.24, what was the total duration of the call in minutes?
12. Fill in the blank: $3, 6, 12, <u>?</u>, 48$.
13. A builder measures a fence section as 4.00 m long. What is 4.00 m in ft?
14. A chef pours 2 cups of broth into a pot. If $1$ cup $= 0.24$ L, how many L is that?
15. A store exchanges $1$ USD for $4$ reais and charges a $2$ real fee. For $10$ USD, how many reais do you receive?
16. You flip two coins for a warm-up; what is the probability of at least one head?​
17. The population of Town A is 792,481 and the population of Town B is 406,993. The population of Town A is approximately how many times larger than the population of Town B?
18. The company advertises its average salary as $80,000. Which statement best describes the data?
19. A recipe that yields 12 muffins requires 1.5 cups of flour and 0.75 cups of milk. If a baker uses the same recipe to make 42 muffins, how much more flour than milk will be needed?
20. Snail A travels at a speed of 2 centimeters per minute. Snail B travels at a speed of 1.5 millimeters per second. Which snail is faster, and by how many centimeters per minute? (Note: 1 centimeter = 10 millimeters)

Practice tests